The average age of a man and his son is 40 years. The ratio of their ages is 11 : 5 respectively. What is the… · ABC26GN1506

Subject: General Aptitude · Chapter: Average · Exam: Bank Recruitment 2009

The average age of a man and his son is 40 years. The ratio of their ages is 11 : 5 respectively. What is the son’s age?
Answer
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Explanation
Let the ages of the man and his son be $11 x$ and $5 x$ years respectively. $$\text { Then, average age }=\left(\frac{11 x+5 x}{2}\right) \text { years }=8 x \text { years. } \quad \therefore 8 x=40 \Rightarrow x=5 .$$ Hence, son's age $=5 x=25$ years.

Explanation as extracted from the printed page; notation may be imperfect.

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